432396960 has 96 divisors (see below), whose sum is σ = 1409063040. Its totient is φ = 111326208.

The previous prime is 432396953. The next prime is 432396961. The reversal of 432396960 is 69693234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (432396961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612 + ... + 29451.

It is an arithmetic number, because the mean of its divisors is an integer number (14677740).

Almost surely, 2^432396960 is an apocalyptic number.

432396960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704531520).

432396960 is an abundant number, since it is smaller than the sum of its proper divisors (976666080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432396960 is a wasteful number, since it uses less digits than its factorization.

432396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31110 (or 31102 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 432396960 is about 20794.1568715829. The cubic root of 432396960 is about 756.1841045423.

The spelling of 432396960 in words is "four hundred thirty-two million, three hundred ninety-six thousand, nine hundred sixty".